AConsider that the variables X and Y have the following joint probability distribution.1.3.0.050.050.000.050.100.200.100.350.10(a) Find the marginal distribution of X(b) Find the marginal distribution of Y(c) Determine if X and Y are statistically independent.(d) Find P(Y = 1|X = 3).

XY 1 2 3 Total 1 0.05 0.05 0.10 0.2 3 0.05 0.10 0.35 0.5 5 0.00 0.20 0.10 0.3 Total 0.1…

Answered: Consider that the variables X and Y…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Q1. For the following probability mass function, compute the Table 1: Probability mass function 150 250 350 450 0.2 0.3 0.2 0.2 X: 50 P(X): 0.1 (a) expected value of X, (b) the variance and standard deviation, (c) probability that X ≥ 301.
The following table gives the joint probability function Y1 4 3 2 1 0.18 0.12 | 0.12 0.18 1 Y2 0.06 0.08 | 0.00 | 0.02 | 2 0.00 0.16| 0.08 | 0.00 Find the marginal distributions of Y1 4 3 2 1 y1 0.24 0.36 0.20 0.20 P(y1) 4 3 2 1 y1 0.24 0.30 0.20 0.26 P(y1) 4 3 2 1 y1 0.24 0.42 0.20 0.14 P(y1) 4 3 1 y1 0.24 0.48 0.20 0.08 P(y1)
Q1. Determine the value of c and the covariance and correlation for the joint probability mass function fxy = c(x + y) for x = 1,2,3 and y = 1,2,3.
The probability density function of a discrete random variable X is given by the following table: Px(X = 0) = .54 Px(X = 1) = .16 Px(X = 2) = .06 Px(X = 3) = .04 Px(X = 4) = .20 %3D i) Compute E(X). ii) Compute Var(X).
gn X Three couples and two single individuals have been invited to an investment seminar and have agreed to attend. Suppose the probability that any particular couple or individual arrives late is 0.41 (a couple will travel together in the same vehicle, so either both people will be on time or else both will arrive late). Assume that different couples and individuals are on time or late independently of one another. Let X = the number of people who arrive late for the seminar. (a) Determine the probability mass function of X. [Hint: label the three couples #1, #2, and #3 and the two individuals #4 and #5.] (Round your answers to four decimal places.) P(X = X) X 0 1 2 3 4 5 6 7 8 (b) Obtain the cumulative distribution function of X. (Round your answers to four decimal places.) F(x) X 0 1 2 3 4 5 6 7 Use the cumulative distribution function of X to calculate P(2 ≤ x ≤ 5). (Round your answer to four decimal places.) P(2 ≤ x ≤ 5) = Need Help? Read It Watch It 4
The marginal distributions of two random variables X and Y, together with some values of their joint distribution, are given in the table below. Fill in the table in such a way that X and Y are independent random variables. Y= 1 Y= 3 X= 0 0.50 X= 1 0.30 X= 2 0.10 0.10 0.20 0.50 0.50 1.00
find cov(x,y) and corr(x,y) ? only HANDWRITTEN answer needed ( NOT TYPED)
Consider the joint probability distribution of X and Y: x = 0 x = 1 P(y) y = 0 y = 1 P(x) 0.5 0.2 0.7 0.1 0.2 0.3 0.6 0.4 1 What is pxr (rounded to four decimal places)?
The probability density function of a discrete random variable X is given by the following table: Px(X = 1) = .05 Px(X = 2) = .10 Px(X = 3) = .12 Px(X = 4) = .30 Px (X = 5) = .30 Px (X = 6) = .1i Px (X = 7) = .01 Px(X = 8) = .01 i) Compute E(X). ii) Compute Var(X). iii) Compute Px(X 3)
Joint probability distribution: 1. 4 4 5 6 fxy(x,y) 1/8 1/4 1/2 1/8 O xy or the covariance= VX) = V(Y) =
3) Suppose X is a discrete variable that has the following pr function (pdf) f (X) 1. 0.40 0.20 3 0.15 4. 0.25 a) Calculate the cumulative distribution function (the b) Find the expected value, showing your work: E(X) c) Find the variance, showing your work: Var (X)
Q1 Let probability distribution function of Xbe defined by х %3D 0,1, 2, 3. a P(x) = otherwise. Find the value of a. (а) (b) (c) (d) Find P(-1

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